Na Wei

Zhongnan University of Economics and Law

*This is an algorithmically generated author record based on publicly available information.

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Zhongnan University of Economics and Law

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Na Wei has a total of 12 co-authors. Here are the top co-authors by number of shared publications:

Yonghong Wu
Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia
2 shared publications
Haibo Gu
School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China
1 shared publication
Jianming Chen
School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, China
1 shared publication
Lishan Liu
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
1 shared publication
Xiangyu Ge
School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, China
1 shared publication
Xiangyu Ge
Department of Finance, Wuhan Technology and Business University, Wuhan 430065, China
1 shared publication

Latest Publications

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Cited by 1
- 4 October 2025
- Published by MDPI AG in Fractal and Fractional
New Existence of Multiple Solutions for Fractional Kirchhoff Equations with Logarithmic Nonlinearity
by Yuan Gao, Lishan Liu, Na Wei, Haibo Gu, Yonghong Wu
By using the Ekeland variational principle and Nehari manifold, we study the following fractional p-Laplacian Kirchhoff equations: $M ({[u]}_{s, p}^{p} + \int_{R^{N}} V (x) {| u |}^{p} d x) [{(- Δ)}_{p}^{s} u +$ ${V (x) | u |}^{p - 2} u] = {λ | u |}^{q - 2} u \ln | u |, x \in R^{N}, (P)$ . In these equations, $λ \in R ∖ {0},$ $p \in (1, + \infty)$ , $s \in (0, 1), s p < N,$ $p_{s}^{*} = \frac{N p}{N - s p}$ , $M (τ) = a + b τ^{θ - 1}$ , $a, b \in R^{+},$ $1 < θ < \frac{p_{s}^{*}}{p}$ , $V (x) \in C (R^{N}, R)$ is a potential function and ${(- Δ)}_{p}^{s}$ is the fractional p-Laplacian operator. The existence of solutions is deeply influenced by the positive and negative signs of $λ$ . More precisely, (i) Equation (P) has one ground state solution for $λ > 0$ and $p θ < q < p_{s}^{*}$ , with a positive corresponding energy value; and (ii) Equation (P) has at least two nontrivial solutions for $λ < 0$ and $p < q < p_{s}^{*}$ , with positive and negative corresponding energy values, respectively.
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- 4 October 2025
- Published by MDPI AG in Fractal and Fractional
Open Access
New Existence of Multiple Solutions for Fractional Kirchhoff Equations with Logarithmic Nonlinearity
by Yuan Gao, Lishan Liu, Na Wei, Haibo Gu, Yonghong Wu
By using the Ekeland variational principle and Nehari manifold, we study the following fractional p-Laplacian Kirchhoff equations: $M ({[u]}_{s, p}^{p} + \int_{R^{N}} V (x) {| u |}^{p} d x) [{(- Δ)}_{p}^{s} u +$ ${V (x) | u |}^{p - 2} u] = {λ | u |}^{q - 2} u \ln | u |, x \in R^{N}, (P)$ . In these equations, $λ \in R ∖ {0},$ $p \in (1, + \infty)$ , $s \in (0, 1), s p < N,$ $p_{s}^{*} = \frac{N p}{N - s p}$ , $M (τ) = a + b τ^{θ - 1}$ , $a, b \in R^{+},$ $1 < θ < \frac{p_{s}^{*}}{p}$ , $V (x) \in C (R^{N}, R)$ is a potential function and ${(- Δ)}_{p}^{s}$ is the fractional p-Laplacian operator. The existence of solutions is deeply influenced by the positive and negative signs of $λ$ . More precisely, (i) Equation (P) has one ground state solution for $λ > 0$ and $p θ < q < p_{s}^{*}$ , with a positive corresponding energy value; and (ii) Equation (P) has at least two nontrivial solutions for $λ < 0$ and $p < q < p_{s}^{*}$ , with positive and negative corresponding energy values, respectively.
Cited by 1
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Cited by 1
- 16 March 2024
- Published by Elsevier in Applied Mathematics Letters
A priori estimates and existence of solutions to a system of nonlinear elliptic equations
by Yongsheng Jiang, Na Wei, Yonghong Wu
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- 16 March 2024
- Published by Elsevier in Applied Mathematics Letters
A priori estimates and existence of solutions to a system of nonlinear elliptic equations
by Yongsheng Jiang, Na Wei, Yonghong Wu
Cited by 1
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Cited by 3
- 19 April 2021
- Published by Springer Nature in Acta Mathematica Scientia
Multiple Solutions for the Schrödinger-Poisson Equation with a General Nonlinearity
by Yongsheng Jiang, Na Wei, Yonghong Wu
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- 19 April 2021
- Published by Springer Nature in Acta Mathematica Scientia
Multiple Solutions for the Schrödinger-Poisson Equation with a General Nonlinearity
by Yongsheng Jiang, Na Wei, Yonghong Wu
Cited by 3
Open Access
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- 28 August 2020
- Published by Wiley in Journal of Function Spaces
The Existence of Positive Solution of a Nonlinear Problem on Unit Circle
by Na Wei, Yanli Zhou, Xiangyu Ge
We consider the following nonlinear problem $u^{″} (x) + λ u (x) + f (x, u) = 0, x \in S^{1},$ (P) where $S^{1}$ is a unit circle, $λ \in ℝ$ is a parameter, and $f (x, u)$ is a nonlinearity. By using the variational method, we obtain the existence of a positive solution to (P) for all $λ \in ℝ$ . This phenomenon is different from the corresponding boundary value problem.
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- 28 August 2020
- Published by Wiley in Journal of Function Spaces
Open Access
The Existence of Positive Solution of a Nonlinear Problem on Unit Circle
by Na Wei, Yanli Zhou, Xiangyu Ge
We consider the following nonlinear problem $u^{″} (x) + λ u (x) + f (x, u) = 0, x \in S^{1},$ (P) where $S^{1}$ is a unit circle, $λ \in ℝ$ is a parameter, and $f (x, u)$ is a nonlinearity. By using the variational method, we obtain the existence of a positive solution to (P) for all $λ \in ℝ$ . This phenomenon is different from the corresponding boundary value problem.
Open Access
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Cited by 1
- 1 October 2019
- Published by IOP Publishing in Journal of Physics: Conference Series
Bayesian analysis of population agglomeration and ecological efficiency in Beijing-Tianjin-Hebei region
by Jianming Chen, Na Wei, Yanli Zhou, Xiangyu Ge
By using 35 cities data directly under the jurisdiction of Beijing-Tianjin-Hebei region, this paper improved Bayesian spatial quantile regression method to explore the relationship between population aggregation and eco-efficiency and its mutual influence under the background of Beijing, Tianjin and Hebei urban agglomeration construction theme. The study found that population aggregation has a significant negative impact on the urban eco-efficiency. In addition, the number of primary schools, the scale of urban economic development and investment in real estate development also have a significant negative impact on urban eco-efficiency. While the number of secondary schools and the number of beds in medical and health institutions has a significant positive impact on urban eco-efficiency.
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- 1 October 2019
- Published by IOP Publishing in Journal of Physics: Conference Series
Open Access
Bayesian analysis of population agglomeration and ecological efficiency in Beijing-Tianjin-Hebei region
by Jianming Chen, Na Wei, Yanli Zhou, Xiangyu Ge
By using 35 cities data directly under the jurisdiction of Beijing-Tianjin-Hebei region, this paper improved Bayesian spatial quantile regression method to explore the relationship between population aggregation and eco-efficiency and its mutual influence under the background of Beijing, Tianjin and Hebei urban agglomeration construction theme. The study found that population aggregation has a significant negative impact on the urban eco-efficiency. In addition, the number of primary schools, the scale of urban economic development and investment in real estate development also have a significant negative impact on urban eco-efficiency. While the number of secondary schools and the number of beds in medical and health institutions has a significant positive impact on urban eco-efficiency.
Cited by 1